Table 4 N0n-linear activation functions used in the two hidden and output layers of ANN.

From: Thermal behavior in compact-type cryogenic needle valve with integrated heat sinks

Hidden Layer 1

H1

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(-0.015\times\:\text{D}-0.229\times\:\text{t}+3.442\left)\right)\)

H2

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(0.013\times\:\text{D}-0.320\times\:\text{t}-3.389\left)\right)\)

H3

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(0.039\times\:\text{D}-1.247\times\:\text{t}+5.748\left)\right)\)

Hidden Layer 2

HH1

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(-0.530\times\:\text{H}1-0.759\times\:\text{H}2-3.24\times\:\text{H}3-0.079\left)\right)\)

HH2

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(1.218\times\:\text{H}1-1.191\times\:\text{H}2-1.197\times\:\text{H}3-0.629\left)\right)\)

HH3

\(\:\text{T}\text{a}\text{n}\text{h}(0.5\times\:(-3.589\times\:\text{H}1-0.008\times\:\text{H}2-0.691\times\:\text{H}3-0.479)\)

Output Layer

Output

\(\:32.7173\times\:\text{H}\text{H}1-84.481\times\:\text{H}\text{H}2-26.164\times\:\text{H}\text{H}3-102.775\)